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21211477411212 = 2232113714231017347
BaseRepresentation
bin1001101001010101011101…
…00100111000010110001100
32210002210112022221111221100
410310222232210320112030
510240012101204124322
6113040230155303100
74316323120064124
oct464525644702614
983083468844840
1021211477411212
116838812020040
122466b14a4aa90
13bab30669c60a
145348d8c0bc84
1526bb5c4b5dac
hex134aae93858c

21211477411212 has 144 divisors (see below), whose sum is σ = 60115402593792. Its totient is φ = 6249597171840.

The previous prime is 21211477411181. The next prime is 21211477411247.

21211477411212 is a `hidden beast` number, since 2 + 1 + 21 + 1 + 4 + 7 + 7 + 411 + 212 = 666.

21211477411212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20341123 + ... + 21358469.

It is an arithmetic number, because the mean of its divisors is an integer number (417468073568).

Almost surely, 221211477411212 is an apocalyptic number.

21211477411212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211477411212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057701296896).

21211477411212 is an abundant number, since it is smaller than the sum of its proper divisors (38903925182580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211477411212 is a wasteful number, since it uses less digits than its factorization.

21211477411212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018828 (or 1018823 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

It can be divided in two parts, 2121147 and 7411212, that added together give a palindrome (9532359).

The spelling of 21211477411212 in words is "twenty-one trillion, two hundred eleven billion, four hundred seventy-seven million, four hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1423 1628 2442 2846 3663 4269 4884 5692 7326 8538 12807 14652 15653 17076 25614 31306 46959 51228 52651 62612 93918 105302 140877 157953 187836 210604 281754 315906 473859 563508 579161 631812 947718 1017347 1158322 1737483 1895436 2034694 2316644 3052041 3474966 4069388 5212449 6104082 6949932 9156123 10424898 11190817 12208164 18312246 20849796 22381634 33572451 36624492 37641839 44763268 67144902 75283678 100717353 112925517 134289804 150567356 201434706 225851034 338776551 402869412 414060229 451702068 677553102 828120458 1242180687 1355106204 1447684781 1656240916 2484361374 2895369562 3726542061 4343054343 4968722748 5790739124 7453084122 8686108686 13029163029 14906168244 15924532591 17372217372 26058326058 31849065182 47773597773 52116652116 53564336897 63698130364 95547195546 107128673794 143320793319 160693010691 191094391092 214257347588 286641586638 321386021382 482079032073 573283173276 589207705867 642772042764 964158064146 1178415411734 1767623117601 1928316128292 2356830823468 3535246235202 5302869352803 7070492470404 10605738705606 21211477411212